Test Index

Ratio and Proportion

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Question : 33 of 112

Marks: +1, -0

₹ 1980 are divided among

A, B, C

so that half of A's part, one-third of B's part and one- sixth of C's part are equal. Then, B's part is :

$\text{Rs.} 660$
$\text{Rs.} 360$
$\text{Rs. } 1080$
$\text{Rs.} 540$

Solution:

Concept:

When fractions of different parts are equal, the parts are directly proportional to the denominators of those fractions.

Explanation:

Let the equal value be

k

.

Then

\frac{A}{2} = \frac{B}{3} = \frac{C}{6} = k

.

So

A = 2k

,

B = 3k

,

C = 6k

.

Hence the ratio

A : B : C = 2 : 3 : 6

.

Total parts =

2 + 3 + 6 = 11

.

Total amount = ₹1980.

Thus

11k = 1980

→

k = 180

.

B's share =

3k = 3 \times 180 = \text{Rs.}540

.

Answer:

B's part is ₹540.

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